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Show the Proof

In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
 step typerequirementsstatement
0instantiation1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.disassociation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference32  ⊢  
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation13  ⊢  
  : , :
7instantiation14  ⊢  
  : , : , :
8instantiation30, 18, 15  ⊢  
  : , : , :
9instantiation30, 18, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
11instantiation30, 18, 17  ⊢  
  : , : , :
12instantiation30, 18, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15instantiation30, 24, 20  ⊢  
  : , : , :
16instantiation30, 21, 22  ⊢  
  : , : , :
17instantiation30, 24, 23  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation30, 24, 25  ⊢  
  : , : , :
20instantiation30, 28, 26  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
23instantiation30, 28, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation30, 28, 29  ⊢  
  : , : , :
26instantiation30, 31, 32  ⊢  
  : , : , :
27assumption  ⊢  
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29assumption  ⊢  
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2